IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 619 - 625 of 1025
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Question 619
Question MCQ▾
A number 100 is divided into four parts that are in A. P. such that the product of the first and fourth is to the product of the second and third is . Find the largest part.
Choices
Choice (4) | Response | |
---|---|---|
a. | 10 | |
b. | 40 | |
c. | 60 | |
d. | 30 |
Question 620
Question MCQ▾
If six numbers are in A. P. such that their sum is 30 and the greatest number is 6 times the least, then the numbers are ________
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |
Question 621
Question MCQ▾
A number 196 is divided into four parts that are in A. P. such that the product of the first and fourth is to the product of the second and third is . Find the largest part.
Choices
Choice (4) | Response | |
---|---|---|
a. | 70 | |
b. | 28 | |
c. | 42 | |
d. | 56 |
Question 622
Question 623
Question MCQ▾
Find the sum of all three-digit natural numbers, which on being divided by 4, leave remainder equal to 2.
Choices
Choice (4) | Response | |
---|---|---|
a. | 1,99, 270 | |
b. | 1,23, 525 | |
c. | 4,41, 680 | |
d. | 1,94, 780 |
Question 624
Question MCQ▾
If the sum of terms of an A. P. are respectively, then is ________
Choices
Choice (4) | Response | |
---|---|---|
a. | 1 | |
b. | 2 | |
c. | 0 | |
d. | 3 |
Question 625
Question MCQ▾
Find the sum of all four-digit natural numbers, which on being divided by 20, leave remainder equal to 5.
Choices
Choice (4) | Response | |
---|---|---|
a. | 69,65, 000 | |
b. | 32,23, 001 | |
c. | 24,70, 500 | |
d. | 60,27, 000 |